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Finding the Fourth Proportional to 9,761.06, 13,470.31 and 5,284.82

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Solution

The fourth proportional to 9,761.06, 13,470.31 and 5,284.82 is: 7,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.06 : 13,470.31 = 5,284.82 : x
  2. Step 2: Convert to fraction form
    9,761.06/13,470.31 = 5,284.82/x
  3. Step 3: Cross multiply
    9,761.06x = 13,470.31 × 5,284.82
  4. Step 4: Simplify right side
    9,761.06x = 71,188,163.69
  5. Step 5: Solve for x
    x = 71,188,163.69/9,761.06
  6. Step 6: Final answer
    x = 7,293.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.